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Finding the Fourth Proportional to 235.12, 323.76 and 196.24

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Solution

The fourth proportional to 235.12, 323.76 and 196.24 is: 270.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.12 : 323.76 = 196.24 : x
  2. Step 2: Convert to fraction form
    235.12/323.76 = 196.24/x
  3. Step 3: Cross multiply
    235.12x = 323.76 × 196.24
  4. Step 4: Simplify right side
    235.12x = 63,534.66
  5. Step 5: Solve for x
    x = 63,534.66/235.12
  6. Step 6: Final answer
    x = 270.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.